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<b>set </b><font color="Maroon">T</font> =  <a href="bagorder.html#NK4" target="_self">LexOrder</a> <font color="Maroon">n</font>;<br/>
<b>take </b>
 <a href="bagorder.html#NK4" target="_self">LexOrder</a> <font color="Maroon">n</font>
;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="11_1_1_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> , <font color="Maroon">y</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>assume </b><a NAME="E1:11_1_1_1"/>
( <font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K3">field</a> <span class="p1">(<span class="default"><a href="bagorder.html#NK4" target="_self">LexOrder</a> <font color="Maroon">n</font></span>)</span> &amp; <font color="Maroon">y</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K3">field</a> <span class="p1">(<span class="default"><a href="bagorder.html#NK4" target="_self">LexOrder</a> <font color="Maroon">n</font></span>)</span> &amp; <font color="Maroon">x</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">y</font> )
 ;<br/><b>then reconsider </b><font color="Maroon">b1</font> = <font color="Maroon">x</font>, <font color="Maroon">b2</font> = <font color="Maroon">y</font> as   <a href="polynom1.html#NM1">bag</a> of <font color="Maroon">n</font> <b>by </b><i/>;<br/><a NAME="E3:11_1_1_1"/>
( <font color="Maroon">b1</font> <a href="polynom1.html#R2">&lt;='</a> <font color="Maroon">b2</font> or <font color="Maroon">b2</font> <a href="polynom1.html#R2">&lt;='</a> <font color="Maroon">b1</font> )
 <b>by </b><i><a class="ref" href="polynom1.html#T49">POLYNOM1:49</a></i>;<br/><b>hence </b><a NAME="E4:11_1_1_1"/>
( <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">y</font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a>  <a href="bagorder.html#NK4" target="_self">LexOrder</a> <font color="Maroon">n</font> or <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">y</font>,<font color="Maroon">x</font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a>  <a href="bagorder.html#NK4" target="_self">LexOrder</a> <font color="Maroon">n</font> )
 <b>by </b><i><a class="ref" href="polynom1.html#D16">POLYNOM1:def 16</a></i>;<br/></div><b>end;</b></div>
<a NAME="E2:11_1_1"/><b>then </b>
 <a href="bagorder.html#NK4" target="_self">LexOrder</a> <font color="Maroon">n</font> <a href="relat_2.html#R6">is_connected_in</a>  <a href="relat_1.html#K3">field</a> <span class="p1">(<span class="default"><a href="bagorder.html#NK4" target="_self">LexOrder</a> <font color="Maroon">n</font></span>)</span>
 
<b>by </b><i><a class="ref" href="relat_2.html#D6">RELAT_2:def 6</a></i>;<br/>
<b>hence </b><a NAME="E3:11_1_1"/>
(  <a href="bagorder.html#NK4" target="_self">LexOrder</a> <font color="Maroon">n</font> is <a href="bagorder.html#V2">admissible</a> &amp;  <a href="bagorder.html#NK4" target="_self">LexOrder</a> <font color="Maroon">n</font> is <a href="relat_2.html#V6">connected</a> )
 <b>by </b><i><a class="ref" href="relat_2.html#D14">RELAT_2:def 14</a></i>;<br/>


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